Robust Discrete Optimization And Its Applications

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Robust Discrete Optimization and Its Applications

Author : Panos Kouvelis
Publisher : Springer Science & Business Media
ISBN 13 : 1475726201
Total Pages : 373 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Robust Discrete Optimization and Its Applications by : Panos Kouvelis

Download or read book Robust Discrete Optimization and Its Applications written by Panos Kouvelis and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with decision making in environments of significant data un certainty, with particular emphasis on operations and production management applications. For such environments, we suggest the use of the robustness ap proach to decision making, which assumes inadequate knowledge of the decision maker about the random state of nature and develops a decision that hedges against the worst contingency that may arise. The main motivating factors for a decision maker to use the robustness approach are: • It does not ignore uncertainty and takes a proactive step in response to the fact that forecasted values of uncertain parameters will not occur in most environments; • It applies to decisions of unique, non-repetitive nature, which are common in many fast and dynamically changing environments; • It accounts for the risk averse nature of decision makers; and • It recognizes that even though decision environments are fraught with data uncertainties, decisions are evaluated ex post with the realized data. For all of the above reasons, robust decisions are dear to the heart of opera tional decision makers. This book takes a giant first step in presenting decision support tools and solution methods for generating robust decisions in a variety of interesting application environments. Robust Discrete Optimization is a comprehensive mathematical programming framework for robust decision making.

Robust Optimization

Author : Aharon Ben-Tal
Publisher : Princeton University Press
ISBN 13 : 1400831059
Total Pages : 576 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Robust Optimization by : Aharon Ben-Tal

Download or read book Robust Optimization written by Aharon Ben-Tal and published by Princeton University Press. This book was released on 2009-08-10 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: Robust optimization is still a relatively new approach to optimization problems affected by uncertainty, but it has already proved so useful in real applications that it is difficult to tackle such problems today without considering this powerful methodology. Written by the principal developers of robust optimization, and describing the main achievements of a decade of research, this is the first book to provide a comprehensive and up-to-date account of the subject. Robust optimization is designed to meet some major challenges associated with uncertainty-affected optimization problems: to operate under lack of full information on the nature of uncertainty; to model the problem in a form that can be solved efficiently; and to provide guarantees about the performance of the solution. The book starts with a relatively simple treatment of uncertain linear programming, proceeding with a deep analysis of the interconnections between the construction of appropriate uncertainty sets and the classical chance constraints (probabilistic) approach. It then develops the robust optimization theory for uncertain conic quadratic and semidefinite optimization problems and dynamic (multistage) problems. The theory is supported by numerous examples and computational illustrations. An essential book for anyone working on optimization and decision making under uncertainty, Robust Optimization also makes an ideal graduate textbook on the subject.

Theory and Practice of Uncertain Programming

Author : Baoding Liu
Publisher : Springer
ISBN 13 : 3540894845
Total Pages : 202 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Theory and Practice of Uncertain Programming by : Baoding Liu

Download or read book Theory and Practice of Uncertain Programming written by Baoding Liu and published by Springer. This book was released on 2008-12-28 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Real-life decisions are usually made in the state of uncertainty such as randomness and fuzziness. How do we model optimization problems in uncertain environments? How do we solve these models? In order to answer these questions, this book provides a self-contained, comprehensive and up-to-date presentation of uncertain programming theory, including numerous modeling ideas, hybrid intelligent algorithms, and applications in system reliability design, project scheduling problem, vehicle routing problem, facility location problem, and machine scheduling problem. Researchers, practitioners and students in operations research, management science, information science, system science, and engineering will find this work a stimulating and useful reference.

Robustness Analysis in Decision Aiding, Optimization, and Analytics

Author : Michael Doumpos
Publisher : Springer
ISBN 13 : 3319331213
Total Pages : 321 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Robustness Analysis in Decision Aiding, Optimization, and Analytics by : Michael Doumpos

Download or read book Robustness Analysis in Decision Aiding, Optimization, and Analytics written by Michael Doumpos and published by Springer. This book was released on 2016-07-12 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a broad coverage of the recent advances in robustness analysis in decision aiding, optimization, and analytics. It offers a comprehensive illustration of the challenges that robustness raises in different operations research and management science (OR/MS) contexts and the methodologies proposed from multiple perspectives. Aside from covering recent methodological developments, this volume also features applications of robust techniques in engineering and management, thus illustrating the robustness issues raised in real-world problems and their resolution within advances in OR/MS methodologies. Robustness analysis seeks to address issues by promoting solutions, which are acceptable under a wide set of hypotheses, assumptions and estimates. In OR/MS, robustness has been mostly viewed in the context of optimization under uncertainty. Several scholars, however, have emphasized the multiple facets of robustness analysis in a broader OR/MS perspective that goes beyond the traditional framework, seeking to cover the decision support nature of OR/MS methodologies as well. As new challenges emerge in a “big-data'” era, where the information volume, speed of flow, and complexity increase rapidly, and analytics play a fundamental role for strategic and operational decision-making at a global level, robustness issues such as the ones covered in this book become more relevant than ever for providing sound decision support through more powerful analytic tools.

Nature-inspired Methods for Stochastic, Robust and Dynamic Optimization

Author : Javier Del Ser Lorente
Publisher : BoD – Books on Demand
ISBN 13 : 1789233283
Total Pages : 71 pages
Book Rating : 4.7/5 (892 download)

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Book Synopsis Nature-inspired Methods for Stochastic, Robust and Dynamic Optimization by : Javier Del Ser Lorente

Download or read book Nature-inspired Methods for Stochastic, Robust and Dynamic Optimization written by Javier Del Ser Lorente and published by BoD – Books on Demand. This book was released on 2018-07-18 with total page 71 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nature-inspired algorithms have a great popularity in the current scientific community, being the focused scope of many research contributions in the literature year by year. The rationale behind the acquired momentum by this broad family of methods lies on their outstanding performance evinced in hundreds of research fields and problem instances. This book gravitates on the development of nature-inspired methods and their application to stochastic, dynamic and robust optimization. Topics covered by this book include the design and development of evolutionary algorithms, bio-inspired metaheuristics, or memetic methods, with empirical, innovative findings when used in different subfields of mathematical optimization, such as stochastic, dynamic, multimodal and robust optimization, as well as noisy optimization and dynamic and constraint satisfaction problems.

Active Robust Optimization: Optimizing for Robustness of Changeable Products

Author : Shaul Salomon
Publisher : Springer
ISBN 13 : 303015050X
Total Pages : 194 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Active Robust Optimization: Optimizing for Robustness of Changeable Products by : Shaul Salomon

Download or read book Active Robust Optimization: Optimizing for Robustness of Changeable Products written by Shaul Salomon and published by Springer. This book was released on 2019-07-06 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a novel framework, known as Active Robust Optimization, which provides the tools for evaluating, comparing and optimizing changeable products. Since any product that can change its configuration during normal operation may be considered a “changeable product,” the framework is widely applicable. Further, the methodology enables designers to use adaptability to deal with uncertainties and so avoid over-conservative designs. Offering a comprehensive overview of the framework, including its unique features, such as its ability to optimally respond to uncertain situations, the book also defines a new class of optimization problem and examines the effects of changes in various parameters on their solution. Lastly, it discusses innovative approaches for solving the problem and demonstrates these ‎with two examples from different fields in engineering design: optimization of an optical table and optimization of a gearbox.

Advances and Trends in Optimization with Engineering Applications

Author : Tamas Terlaky
Publisher : SIAM
ISBN 13 : 1611974674
Total Pages : 730 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Advances and Trends in Optimization with Engineering Applications by : Tamas Terlaky

Download or read book Advances and Trends in Optimization with Engineering Applications written by Tamas Terlaky and published by SIAM. This book was released on 2017-04-26 with total page 730 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization is of critical importance in engineering. Engineers constantly strive for the best possible solutions, the most economical use of limited resources, and the greatest efficiency. As system complexity increases, these goals mandate the use of state-of-the-art optimization techniques. In recent years, the theory and methodology of optimization have seen revolutionary improvements. Moreover, the exponential growth in computational power, along with the availability of multicore computing with virtually unlimited memory and storage capacity, has fundamentally changed what engineers can do to optimize their designs. This is a two-way process: engineers benefit from developments in optimization methodology, and challenging new classes of optimization problems arise from novel engineering applications. Advances and Trends in Optimization with Engineering Applications reviews 10 major areas of optimization and related engineering applications, providing a broad summary of state-of-the-art optimization techniques most important to engineering practice. Each part provides a clear overview of a specific area and discusses a range of real-world problems. The book provides a solid foundation for engineers and mathematical optimizers alike who want to understand the importance of optimization methods to engineering and the capabilities of these methods.

Discrete Optimization

Author : E. Boros
Publisher : Elsevier
ISBN 13 : 008093028X
Total Pages : 587 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Discrete Optimization by : E. Boros

Download or read book Discrete Optimization written by E. Boros and published by Elsevier. This book was released on 2003-03-19 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most frequently occurring types of optimization problems involves decision variables which have to take integer values. From a practical point of view, such problems occur in countless areas of management, engineering, administration, etc., and include such problems as location of plants or warehouses, scheduling of aircraft, cutting raw materials to prescribed dimensions, design of computer chips, increasing reliability or capacity of networks, etc. This is the class of problems known in the professional literature as "discrete optimization" problems. While these problems are of enormous applicability, they present many challenges from a computational point of view. This volume is an update on the impressive progress achieved by mathematicians, operations researchers, and computer scientists in solving discrete optimization problems of very large sizes. The surveys in this volume present a comprehensive overview of the state of the art in discrete optimization and are written by the most prominent researchers from all over the world. This volume describes the tremendous progress in discrete optimization achieved in the last 20 years since the publication of Discrete Optimization '77, Annals of Discrete Mathematics, volumes 4 and 5, 1979 (Elsevier). It contains surveys of the state of the art written by the most prominent researchers in the field from all over the world, and covers topics like neighborhood search techniques, lift and project for mixed 0-1 programming, pseudo-Boolean optimization, scheduling and assignment problems, production planning, location, bin packing, cutting planes, vehicle routing, and applications to graph theory, mechanics, chip design, etc. Key features: • state of the art surveys • comprehensiveness • prominent authors • theoretical, computational and applied aspects. This book is a reprint of Discrete Applied Mathematics Volume 23, Numbers 1-3

Operations Research Proceedings 2021

Author : Norbert Trautmann
Publisher : Springer Nature
ISBN 13 : 3031086236
Total Pages : 432 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Operations Research Proceedings 2021 by : Norbert Trautmann

Download or read book Operations Research Proceedings 2021 written by Norbert Trautmann and published by Springer Nature. This book was released on 2022-08-29 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers a selection of peer-reviewed papers presented at the International Conference on Operations Research (OR 2021), which was hosted online by the University of Bern from August 31 to September 3, 2021, and was jointly organized by the Operations Research Societies of Switzerland (SVOR/ASRO), Germany (GOR e.V.), and Austria (ÖGOR). The respective papers discuss classical mathematical optimization, statistics and simulation techniques. These are complemented by computer science methods, and by tools for processing data, designing and implementing information systems. The book also examines recent advances in information technology, which allow massive volumes of data to be processed and enable real-time predictive and prescriptive business analytics to drive decisions and actions. Lastly, it presents a selection of problems that are modeled and treated while taking into account uncertainty, risk management, behavioral issues, etc.

Discrete Optimization with Interval Data

Author : Adam Kasperski
Publisher : Springer
ISBN 13 : 3540784845
Total Pages : 220 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Discrete Optimization with Interval Data by : Adam Kasperski

Download or read book Discrete Optimization with Interval Data written by Adam Kasperski and published by Springer. This book was released on 2008-04-06 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Operations research often solves deterministic optimization problems based on elegantand conciserepresentationswhereall parametersarepreciselyknown. In the face of uncertainty, probability theory is the traditional tool to be appealed for, and stochastic optimization is actually a signi?cant sub-area in operations research. However, the systematic use of prescribed probability distributions so as to cope with imperfect data is partially unsatisfactory. First, going from a deterministic to a stochastic formulation, a problem may becomeintractable. Agoodexampleiswhengoingfromdeterministictostoch- tic scheduling problems like PERT. From the inception of the PERT method in the 1950’s, it was acknowledged that data concerning activity duration times is generally not perfectly known and the study of stochastic PERT was launched quite early. Even if the power of today’s computers enables the stochastic PERT to be addressed to a large extent, still its solutions often require simplifying assumptions of some kind. Another di?culty is that stochastic optimization problems produce solutions in the average. For instance, the criterion to be maximized is more often than not expected utility. This is not always a meaningful strategy. In the case when the underlying process is not repeated a lot of times, let alone being one-shot, it is not clear if this criterion is realistic, in particular if probability distributions are subjective. Expected utility was proposed as a rational criterion from ?rst principles by Savage. In his view, the subjective probability distribution was - sically an artefact useful to implement a certain ordering of solutions.

Forging Connections between Computational Mathematics and Computational Geometry

Author : Ke Chen
Publisher : Springer
ISBN 13 : 3319161393
Total Pages : 300 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Forging Connections between Computational Mathematics and Computational Geometry by : Ke Chen

Download or read book Forging Connections between Computational Mathematics and Computational Geometry written by Ke Chen and published by Springer. This book was released on 2016-01-03 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents original research contributed to the 3rd Annual International Conference on Computational Mathematics and Computational Geometry (CMCGS 2014), organized and administered by Global Science and Technology Forum (GSTF). Computational Mathematics and Computational Geometry are closely related subjects, but are often studied by separate communities and published in different venues. This volume is unique in its combination of these topics. After the conference, which took place in Singapore, selected contributions chosen for this volume and peer-reviewed. The section on Computational Mathematics contains papers that are concerned with developing new and efficient numerical algorithms for mathematical sciences or scientific computing. They also cover analysis of such algorithms to assess accuracy and reliability. The parts of this project that are related to Computational Geometry aim to develop effective and efficient algorithms for geometrical applications such as representation and computation of surfaces. Other sections in the volume cover Pure Mathematics and Statistics ranging from partial differential equations to matrix analysis, finite difference or finite element methods and function approximation. This volume will appeal to advanced students and researchers in these areas.

Operations Research and Enterprise Systems

Author : Greg H. Parlier
Publisher : Springer
ISBN 13 : 3030160351
Total Pages : 245 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Operations Research and Enterprise Systems by : Greg H. Parlier

Download or read book Operations Research and Enterprise Systems written by Greg H. Parlier and published by Springer. This book was released on 2019-03-14 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes revised selected papers from the 7th International Conference on Operations Research and Enterprise Systems, ICORES 2018, held in Funchal, Madeira, Portugal, in January 2018. The 12 papers presented in this volume were carefully reviewed and selected from a total of 59 submissions. They are organized in topical sections named: methodologies and technologies; and applications.

Operations Research Proceedings 2019

Author : Janis S. Neufeld
Publisher : Springer Nature
ISBN 13 : 3030484394
Total Pages : 734 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Operations Research Proceedings 2019 by : Janis S. Neufeld

Download or read book Operations Research Proceedings 2019 written by Janis S. Neufeld and published by Springer Nature. This book was released on 2020-09-24 with total page 734 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers a selection of peer-reviewed papers presented at the International Conference on Operations Research (OR 2019), which was held at Technische Universität Dresden, Germany, on September 4-6, 2019, and was jointly organized by the German Operations Research Society (GOR) the Austrian Operations Research Society (ÖGOR), and the Swiss Operational Research Society (SOR/ASRO). More than 600 scientists, practitioners and students from mathematics, computer science, business/economics and related fields attended the conference and presented more than 400 papers in plenary presentations, parallel topic streams, as well as special award sessions. The respective papers discuss classical mathematical optimization, statistics and simulation techniques. These are complemented by computer science methods, and by tools for processing data, designing and implementing information systems. The book also examines recent advances in information technology, which allow big data volumes to be processed and enable real-time predictive and prescriptive business analytics to drive decisions and actions. Lastly, it includes problems modeled and treated while taking into account uncertainty, risk management, behavioral issues, etc.

Optimization Methods and Applications

Author : Sergiy Butenko
Publisher : Springer
ISBN 13 : 3319686402
Total Pages : 639 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Optimization Methods and Applications by : Sergiy Butenko

Download or read book Optimization Methods and Applications written by Sergiy Butenko and published by Springer. This book was released on 2018-02-20 with total page 639 pages. Available in PDF, EPUB and Kindle. Book excerpt: Researchers and practitioners in computer science, optimization, operations research and mathematics will find this book useful as it illustrates optimization models and solution methods in discrete, non-differentiable, stochastic, and nonlinear optimization. Contributions from experts in optimization are showcased in this book showcase a broad range of applications and topics detailed in this volume, including pattern and image recognition, computer vision, robust network design, and process control in nonlinear distributed systems. This book is dedicated to the 80th birthday of Ivan V. Sergienko, who is a member of the National Academy of Sciences (NAS) of Ukraine and the director of the V.M. Glushkov Institute of Cybernetics. His work has had a significant impact on several theoretical and applied aspects of discrete optimization, computational mathematics, systems analysis and mathematical modeling.

Modelling, Computation and Optimization in Information Systems and Management Sciences

Author : Le Thi Hoai An
Publisher : Springer Science & Business Media
ISBN 13 : 3540874771
Total Pages : 632 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Modelling, Computation and Optimization in Information Systems and Management Sciences by : Le Thi Hoai An

Download or read book Modelling, Computation and Optimization in Information Systems and Management Sciences written by Le Thi Hoai An and published by Springer Science & Business Media. This book was released on 2008-10-25 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: Constitutes the refereed proceedings of the Second International Conference MCO 2008, Metz, France, September 2008. This title organizes the papers in topical sections on optimization and decision making; data mining theory, systems and applications; computer vision and image processing; and computer communications and networks.

Approximation and Optimization

Author : Ioannis C. Demetriou
Publisher : Springer
ISBN 13 : 3030127672
Total Pages : 237 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Approximation and Optimization by : Ioannis C. Demetriou

Download or read book Approximation and Optimization written by Ioannis C. Demetriou and published by Springer. This book was released on 2019-05-10 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the development of approximation-related algorithms and their relevant applications. Individual contributions are written by leading experts and reflect emerging directions and connections in data approximation and optimization. Chapters discuss state of the art topics with highly relevant applications throughout science, engineering, technology and social sciences. Academics, researchers, data science practitioners, business analysts, social sciences investigators and graduate students will find the number of illustrations, applications, and examples provided useful. This volume is based on the conference Approximation and Optimization: Algorithms, Complexity, and Applications, which was held in the National and Kapodistrian University of Athens, Greece, June 29–30, 2017. The mix of survey and research content includes topics in approximations to discrete noisy data; binary sequences; design of networks and energy systems; fuzzy control; large scale optimization; noisy data; data-dependent approximation; networked control systems; machine learning ; optimal design; no free lunch theorem; non-linearly constrained optimization; spectroscopy.

Integer and Combinatorial Optimization

Author : Laurence A. Wolsey
Publisher : John Wiley & Sons
ISBN 13 : 1118626869
Total Pages : 782 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Integer and Combinatorial Optimization by : Laurence A. Wolsey

Download or read book Integer and Combinatorial Optimization written by Laurence A. Wolsey and published by John Wiley & Sons. This book was released on 2014-08-28 with total page 782 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rave reviews for INTEGER AND COMBINATORIAL OPTIMIZATION "This book provides an excellent introduction and survey of traditional fields of combinatorial optimization . . . It is indeed one of the best and most complete texts on combinatorial optimization . . . available. [And] with more than 700 entries, [it] has quite an exhaustive reference list."-Optima "A unifying approach to optimization problems is to formulate them like linear programming problems, while restricting some or all of the variables to the integers. This book is an encyclopedic resource for such formulations, as well as for understanding the structure of and solving the resulting integer programming problems."-Computing Reviews "[This book] can serve as a basis for various graduate courses on discrete optimization as well as a reference book for researchers and practitioners."-Mathematical Reviews "This comprehensive and wide-ranging book will undoubtedly become a standard reference book for all those in the field of combinatorial optimization."-Bulletin of the London Mathematical Society "This text should be required reading for anybody who intends to do research in this area or even just to keep abreast of developments."-Times Higher Education Supplement, London Also of interest . . . INTEGER PROGRAMMING Laurence A. Wolsey Comprehensive and self-contained, this intermediate-level guide to integer programming provides readers with clear, up-to-date explanations on why some problems are difficult to solve, how techniques can be reformulated to give better results, and how mixed integer programming systems can be used more effectively. 1998 (0-471-28366-5) 260 pp.